Maths-
General
Easy

Question

Mia tosses a a ball to her dog. The function -0.5(x-2)2 + 8 represents the ball path.

The correct answer is: C = 6


    1.What does the vertex form of the function tell you about the situation?
    Solution:- The standard quadratic form is ax2+bx+c=y, the vertex form of a quadratic equation is y=a(x−h)2+k.
    In both forms, y is the y-coordinate, x is the x-coordinate, and a is the constant that tells you whether the parabola is facing up (+a) or down (−a).
    The vertex form of the equation also gives you the parabola's vertex: (h,k).
    This vertex is the highest point on the trajectory of the ball tossed by mia.
    2.What does the standard form of a function tell you about the situation?
    Solution:- The standard quadratic form is ax2+bx+c=y
    In this the term c gives us the y-intercept of the curve
    In the given case it gives the height from which the ball is thrown.

    -0.5(x-2)2 + 8 = y

    - 0.5( x2+ 4 – 4x) + 8 = y

    -0.5x2 – 2 + 2x + 8 = y

    -0.5x2 + 2x + 6 = y

    C = 6
    Which is height from which the ball is thrown.

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